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Finding the Fourth Proportional to 378.37, 568.83 and 298.18

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Solution

The fourth proportional to 378.37, 568.83 and 298.18 is: 448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 568.83 = 298.18 : x
  2. Step 2: Convert to fraction form
    378.37/568.83 = 298.18/x
  3. Step 3: Cross multiply
    378.37x = 568.83 × 298.18
  4. Step 4: Simplify right side
    378.37x = 169,613.73
  5. Step 5: Solve for x
    x = 169,613.73/378.37
  6. Step 6: Final answer
    x = 448.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.